The Decays of $B^{+}\to{\bar{D}^0}+D^{+}_{sJ}(2S)$ and $B^{+}\to\bar{D}^{0}+D^{+}_{sJ}(1D)$

TL;DR

This paper investigates specific B+ meson decays into D mesons and excited D_s states using theoretical models, calculating branching ratios that support identifying D_s(2700) as the first excited state.

Contribution

It provides theoretical calculations of branching ratios for B+ decays into D_s excited states, supporting the identification of D_s(2700) as the 2S state.

Findings

Branching ratio for B+ to D̄0 and D_sJ(2S) is approximately 0.72%.

Branching ratio for B+ to D̄0 and D_sJ(1D) is approximately 0.027%.

Results align with Belle Collaboration data, confirming D_sJ(2700) as the 2S state.

Abstract

We analyzed the decays of $B^{+}\to {\bar {D}^0}+D^{+}_{sJ}(2S)$ and $B^{+}\to\bar D^{0}+D^{+}_{sJ}(1D)$ by naive factorization method and model dependent calculation based on the Bethe-Salpeter method, the branching ratios are $Br({\bar {D}^0}D^{+}_{sJ}(2S))=(0.72\pm0.12)%$ and $Br({\bar {D}^0}D^{+}_{sJ}(1D))=(0.027\pm0.007)%$. The branching ratio of decay $B^{+}\to {\bar {D}^0}D^{+}_{sJ}(2S)\to {\bar {D}^0}D^0 K^+$ consist with the data of Belle Collaboration, so we conclude that the new state $D^{+}_{sJ}(2700)$ is the first excited state $D^{+}_{sJ}(2S)$.